Answer:
Step-by-step explanation:
eq. of line is 2x-3y=-3
its slope=(-co-efficient of x/co-efficient of y)=-2/-3=2/3
slope of line perpendicular to given line=-3/2
eq. of line through (-3,0) is
y-0=-3/2 (x+3)
2y=-3x-9
3x+2y=-9
or
any eq. perpendicular to given line is
3x+2y=c where c is a constant.
it passes through (-3,0)
3(-3)+2(0)=c
c=-9
reqd. eq. is
3x+2y=-9
Which of the following points have a distance of five units between them? Select all that apply 
A.)(-2,5) and (3,7)
B.)(10,5) and (7,9)
C.)(1,10) and (6,5)
D.)(-4,-8) and (-4,-5)
E.)(2,-5) and (6,-8)
Answer:
C. (1, 10) and (6, 5)
Step-by-step explanation:
To find the point with a distance of 5 units.
Let the points be x and y.
x = x1 and x2
y = y1 and y2
x2 - x1 = 5 units
y2 - y1 = 5 units.
A quick look at the options, we can tell that the correct option is C.
From points (1, 10) and (6, 5)
x1 = 1, x2 = 6, y1 = 10 and y2 = 5
Substituting into the equation above, we have;
x2 - x1 = 6 - 1 = 5 units
y2 - y1 = 5 - 10 = -5 units.
Therefore, option C with points (1,10) and (6,5) have a distance of five units between them.
Given that a linear function goes through the points (3,2) and (5, 6) determine the slope
of the line.
Answer:
2
Step-by-step explanation:
The formula of slope from 2 points is change in y divided by change in x, so you can apply that to this problem.
First, find the change in y between the two points. To do this, do y2 - y1.
y2 = 6 and y1 = 2, so you have 6 - 2 = 4.
Next, find the change in x between the two points. To do this, do x2 - x1.
x2 = 5 and x1 = 3, so you have 5 - 3 = 2.
All you're really doing here is finding the distance between the x values and the y values of the points, if that makes sense.
The last step is to do change in y divided by change in x, so 4 / 2 = 2.
This means that the slope of the line is 2.
A used automobile dealership recently reduced the price of a used compact car by 10%. If the price of the car before discount was $18,100, find the discount and the new price.
The discount in price is $
Thus, the new price is $
Answer:
A. $1,810, B. $16,290
Step-by-step explanation:
A. $18,100 * 0.10 = $1,810
B. $18,100 - $1810= $16,290
Four crayons are packaged in a row, three primary colors are touching. If neither is red or blue, which crayon is first
Answer:
yellow
Step-by-step explanation:
please help me solve this geometry problem:)
Given:
The endpoints of a line segment are (-5,12) and (-5,0).
To find:
The coordinates of a points which divides the line segment in 2:1.
Solution:
Section formula: If a point divides a line segment in m:n.
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Let point P divides the given line segment in 2:1. They, by using section formula, we get
[tex]P=\left(\dfrac{2(-5)+1(-5)}{2+1},\dfrac{2(0)+1(12)}{2+1}\right)[/tex]
[tex]P=\left(\dfrac{-10-5}{3},\dfrac{0+12}{3}\right)[/tex]
[tex]P=\left(\dfrac{-15}{3},\dfrac{12}{3}\right)[/tex]
[tex]P=\left(-5,4\right)[/tex]
Therefore, the coordinate of the point that partitions the given segment in the ratio 2:1 are (-5,4).
What would the figure below look like after a reflection across the x-axis?
-1 subtracted by 2.5
Answer:
-3.5
Step-by-step explanation:
Find the missing length. If needed, round to the nearest tenth.
B
6
7
5
Х
A
The value of x is
Answer:
x=5.8
Step-by-step explanation:
5/6=x/7
cross multiply
6x=35
x=35/6
x=5.8
Which of the following expressions are equivalent to -9/j?
A: 9/-j
B: - -9/j
C: none of the above
Answer:
A
Step-by-step explanation:
-9/j is the same as 9/-j
what is the meaning of XII in roman numeral
Answer:
its 12 in mathematics....
Find the midpoint between each pair of points.
13. (7,-2) (-4,2)
BONUS POINTS IF RIGHT
The store bought a table for $150, and sold it for $240. What percentage was the markup?
Answer:50%
Step-by-step explanation:
Answer:
the bought 65% porcentege
Write the fraction in simplest form. *
8/12
Answer:
2/3
Explanation:
/////////////
Find the equation of the line passing through the points (-2,8) and (8,- 7). Write the equation in
slope-intercept form.
Answer:
Step-by-step explanation:
[tex]y=mx+b\\ \\ m=\frac{-7-8}{8-\ -2}=\frac{-15}{10}=\ -\frac{3}{2}\\ \\ y=\ -\frac{3x}{2}+b,\ (-2,8)\\ \\ 8=\ -\frac{3(-2)}{2}+b\\ \\ 8=3+b,\ b=5\\ \\ y=\frac{10-3x}{2}[/tex]
Answer: y = - 3/2x + 5
Step-by-step explanation:
To write the equation in slope intercept form, you will have to find the slope and the y-intercept.
(-2,8) (8,-7)
To find the slope using these points, you will find the difference in the y coordinates and divide it by the difference in the x coordinates.
-7 - 8 = - 15
8 - (-2) = 10
Slope: -15/10 = -3/2
The slope is -3/2
Now using the formula y=mx+b , use one of the given points and the slope to solve for b , which is the y-intercept.
8 = -3/2(-2) + b
8 = 3 + b
-3 -3
b = 5
A scientist wanted to measure the constant rate of the current in a particular section of the river. She released a tracker into the river. The tracker sent her back the following information:
After 3.5 seconds since the tracker was released into the river the tracker had traveled 5.5 meters.
After 10.9 seconds since the tracker was released into the river the tracker had traveled 16.5 meters.
What is the constant rate of the current?
Answer:
1.486m/s
Step-by-step explanation:
The rate of change is defined as the change in distance divided by the change in time
Rate = ∆distance/∆time
Distance = 16.5 and 5.5
Time = 10.9 and 3.5
When we put this into the formula above, we have:
Rate of change = 16.5 - 5.5 / 10.9 - 3.5
= 11/7.4
= 1.486m/s
The constant rate of change has been calculated to be equal to 1.486m/s
You can use the fact that the rate of the change of a value when some other independent value changes is the ratio of change in the dependent variable to the change in the independent variable.
The constant rate of the current is given by 1.4865 meters per second.
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
How to measure the constant rate of the current for the given situation?The distance traveled by the tracker depends on the time passed.
Let the variable "t" tracks the amount of time passed and let the variable "d" tracks the distance traveled by the tracker, then we have:
[tex]\rm At \: t = t_1 = 3.5, d=d_1 = 5.5 \: m\\At \: t = t_2 = 10.9, d = d_2 = 16.5 \: m[/tex]
Thus, the constant rate of current is obtained by
[tex]Rate = \dfrac{d_2 - d_1}{t_2 - t_1} = \dfrac{16.5 - 5.5}{10.9 - 3.5} = \dfrac{11}{7.4} \\\\Rate \approx 1.4865 \: \text{meters per second}[/tex]
Thus,
The constant rate of the current is given by 1.4865 meters per second.
Learn more about rate of change here:
https://brainly.com/question/2460159
At a recent soccer game at Red Bulls stadium, 7500 fans were rooting for the New England Revolution while 17,500 fans were rooting for the New York Red Bulls. What percent of the soccer fans were rooting for the New England Revolution?
Answer:
30%
Step-by-step explanation:
add the number of fans together: 7500+17500 = 25000
write as fraction, fans of New England Revolution over total number: 7500/25000
simplify or use calculator: 3/10 or 0.3
convert fraction or decimal to percentage: 30%
Please help right now which of the following is a major challenge to volcano preparedness
Answer:
D or C I think
Step-by-step explanation:
How do someone overrun so much lava and disaster kits are eated by lava so
To complete her holiday wrapping, Bella needs identical
strips of ribbon measuring 3.5 feet each. She has 85 feet of
ribbon in total. About how many pieces of ribbon can she
cut from this long strip?
Answer:
24
Step-by-step explanation:
Answer:
The answer would be At least 20 box.
Step-by-step explanation:
i anwerd it in the lesson and got it right. Hope this helps. :)
a circle with the diameter of 40 inches. what is the area?
Answer:
A= 1256
Step-by-step explanation:
The formula for area of a circle is [tex]A=\pi r^{2}[/tex]
1. Diameter is DOUBLE of radius, so the diameter must be divided by 2. 40/2 = 20.
2. Then, plug in the values into the area formula. A= 3.14[tex](20^{2})[/tex]
3. Solve. A= 1256. (Remember that 20 squared is 20x20)
I WILL GIVE BRAINLIEST!!!! ~PLEASE HELP (all the answers for all the questions please for the second and first picture)
Answer:
Question 6: I know that (8 + 9) + 3 is equal to 8 + (9 + 3) because of the associative property states that you can change the grouping of addends in any order you want. The benefit to using this property is that you can first add numbers that you can combine more easily. For example, (743 + 51) + 49 can be written as 743 + (51 + 49) or 743 + 100. It is more straightforward to add the numbers that equal 100 first and then add the final number.
Question 3: -3(4x + 3) + 5x [Given]; -12x - 9 + 5x [Distributive Property]; -12x + 5x - 9 [Commutative Property]; -7x - 9 [Combine like-terms]. [tex]\frac{1}{2}[/tex] (6k + 10) + 5k [Given]; 3k + 5 + 5k [Distributive Property]; 3k + 5k + 5 [Commutative Property]; 8k + 5 [ Combine like-terms].
Question 4: 4(2 - 5) - 8 = 4 * (-3) - 8 = -12 - 8 = -20; 4 * 2 - 28 = 8 - 28 = -20.
Question 5: 15 * 3 - 2(2 * 3 + 6) = 45 - 2(6 + 6) = 45 - 2(12) = 45 - 24 = 21; 11 * 3 - 12 = 33 - 12 = 21.
vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 80 per hour, and this rate is Poisson-distributed. Determine the following: a. The percentage of time the machine is busy b. The average number of customers waiting in line c. The average time customers spend in the system d. The average number in the system
Answer:
0.667 ;
0.667 customers ;
0.0166708 hour ;
1.334 customers
Step-by-step explanation:
Given that:
Service time (μ) = 30 seconds ; 2 customers per minute ; 2 * 60 = 120 customers per hour
Arrival time, λ = 80 customers per hour
a.) percentage of time machine is busy (p) ; Utilization factor :
P = λ/ μ = 80 / 120 = 0.667
b.) average number of customers waiting in line Li = p² / 2(1-p)
= 0.667² / 2(1-0.667) = 0.667 customers
c) Average time customer spend in the system = Li/λ + 1/μ
= (0.667 / 80) + (1 / 120)
0.0083375 + 0.0083333
= 0.0166708 hour
= 0.0166708 * 60 = 1.00025 minutes
D) average number in the system ;
Li + p
= 0.667 + 0.667 = 1.334 customers
1. Clare has $150 in her bank account. She buys a bike for $200. What is Clare’s account balance now?
2. If Clare earns $75 the next week from delivering newspapers and deposits it in her account, what will her account balance be then?
Answer:
1. -$50 2. $25
Step-by-step explanation:
150-200= -50
-50+75=25
brian is buying cans of baked beans for a camping trip.each can is 15 ounces.if he buys 7 cans,about how many pounds of beans is he buying?
2 pounds
5 pounds
7 pounds
10 pounds
Answer:
about 7 pounds
Step-by-step explanation:
NOTE: 16 ounces equals a pound
so, we would do 15x7 which equals 105 ounces. then we would do 105/16 since 105 is the ounces in total and 16 ounces=1 pound. so our answer would equal to 6.5625. which rounded off would be about 7 pounds. I hope this is correct /helps!:)
Solve the Antiderivative.
Answer:
I got the same as the top so I think that's the answer
What is 9% of 2 trillion
Answer: 180000000000
Step-by-step explanation:
Answer:
180000000000
Step-by-step explanation:
All the fractions that are equivalent to 4/5 A. 6/10 B. 8/10 C. 8/15 D. 10/15 E. 12/15
Answer:
B.8/10,E.12/15
Step-by-step explanation:
4/5×2=8/10
4/5×3=12/15
300x + 20 + 5x + 10 -40x2 =
Step-by-step explanation:
[tex]305x + 30 - 80 \\ 305x - 50 \\ 305x = 50 \\ x = \frac{305}{50} \\ x = \frac{61}{10} [/tex]
An automobile manufacturer claims that its car has a 57.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 210 cars, they found a mean MPG of 57.4. Assume the standard deviation is known to be 1.9. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.
Answer:
The value of test statistic
|Z| = |-2.2883| = 2.2883
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 57.7miles/gallon
The standard deviation of the Population = 1.9
The mean of sample x⁻ = 57.4
Given that the sample size 'n' =210
level of significance = 0.1
Step(ii):-
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{57.4-57.7}{\frac{1.9}{\sqrt{210} } }[/tex]
Z = -2.2883
|Z| = |-2.2883| = 2.2883
Final answer:-
The value of test statistic
|Z| = 2.2883
-a^2+7b^4-2c^3 if a= -4 b= -2 and c=-3
Step-by-step explanation:
-(-4)²+7(-2)⁴-2(-3)³
=16+7(16)-2(-27)
=15+112+54
=181
The evaluation of the expression is 150.
What is an expression?In mathematics, expression is the combination of variables with the application of operations and prescribed rules. It might take the shape of an equation, some numbers, etc.
The given expression is:
-a² + 7b⁴ -2c³
Substituting, a= -4 b= -2 and c=-3
-a² + 7b⁴ -2c³
= -(-4)² + 7(-2)⁴ -2(-3)³
= -16 + 7 x 16 + 54
= 150
Therefore, the value of the expression is 150.
To learn more about the expression;
brainly.com/question/24242989
#SPJ2
13x+7=215
×=
Solve the equation and enter the value of x
Answer:
x=16, have a great day
Step-by-step explanation:
Answer:
x = 16
Step-by-step explanation:
13x + 7 = 215
13x = 208 (Subtract 7 from both sides.)
x = 16 (Divide both sides by 13)